Search a number
-
+
2427440336 = 241716354751
BaseRepresentation
bin1001000010101111…
…1100110011010000
320021011122202010122
42100223330303100
514432411042321
61040512245412
7114103621346
oct22053746320
96234582118
102427440336
111036254942
12578b40868
132c8ba5839
14190563996
15e31968ab
hex90afccd0

2427440336 has 40 divisors (see below), whose sum is σ = 5010465024. Its totient is φ = 1135296000.

The previous prime is 2427440329. The next prime is 2427440341. The reversal of 2427440336 is 6330447242.

It is a junction number, because it is equal to n+sod(n) for n = 2427440296 and 2427440305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16961 + ... + 71711.

Almost surely, 22427440336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2427440336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505232512).

2427440336 is an abundant number, since it is smaller than the sum of its proper divisors (2583024688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2427440336 is a wasteful number, since it uses less digits than its factorization.

2427440336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54939 (or 54933 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The square root of 2427440336 is about 49269.0606364684. The cubic root of 2427440336 is about 1343.9492050200.

Adding to 2427440336 its reverse (6330447242), we get a palindrome (8757887578).

The spelling of 2427440336 in words is "two billion, four hundred twenty-seven million, four hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 163 272 326 652 1304 2608 2771 5542 11084 22168 44336 54751 109502 219004 438008 876016 930767 1861534 3723068 7446136 8924413 14892272 17848826 35697652 71395304 142790608 151715021 303430042 606860084 1213720168 2427440336